A curve is defined by the parametric equations Find the length of the curve from t=8 to the closest value of t where there is a vertical tangent. Do not approximate In. x= [* cos z dz, y=f* sin z dz, Z Z T 2 t≥ 1.

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A: (a) Consider the given statement, " For all prime numbers p greater than 2, it is the case that p+2…

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A: Rank    1 -2 -3 3     7 0 4 2     -1 0 9 2   Now, reduce this matrixinterchanging…

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A: We will check whether x^3+1  is irreducible over Z_3 or not.

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Q: Let G = {x, {{y}}, {x, z}}. Determine if the following is true or false: x CG O True O False

A: G={x, {{y}}, {x, z}} and x⊆G is False

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Q: Determine whether the following improper integrals converge or diverge 1 -dx. x² ln(x) •+∞ (a) S (b)…

A: The given proper integrals are ,  (a)    ∫0+∞1x2(lnx) dx (b)     ∫0+∞e-3t dt (c)      ∫0+∞e-u du (.)…

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Q: 4. The equation of motion for a damped system with periodic external force is given below. * + 8x +…

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Q: Directions: Find the next three terms and then write the explicit form of the given sequence below.…

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Q: 5-7 23 moving the 2nd column of each matrix gives 363 032 523 M₁ = M₂ 5 -13 -7 -3 3 12 = 3 9 7 5 5…

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Q: Using Regula-Falsi method determine the xr value of drag coefficient (c) needed after 3rd iterations…

A: Given: Mass, m=65 kg Velocity, v=45 m/s Time, t=12 s To Find: xr value of the drag coefficient c…

Q: Find the inverse of the matrix A, if it exists Show A= 04 -407 030)

A: Here we have to find the inverse of the given matrix.

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Q: 1. Determine if the sequence converges or diverges and show how you arrived at the conclusion Inn²…

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